despite the preceding
"The team lost the first two games, nevertheless they managed to win the championship in the final match."
despite anything to the contrary (usually preceding a concession)
"although I'm a little afraid, however I'd like to try it"
"while we disliked each other, nevertheless we agreed"
"he was a stern yet fair master"
"granted that it is dangerous, all the same I still want to go"
In spite of what preceded; yet.
"The sky turned dark and thunder rumbled, nevertheless we continued our walk along the beach."
In plain English: Nevertheless means even though something else is true, you still do what you planned to do.
"The weather was cold, and nevertheless, we went for a walk in the park."
Nevertheless comes from Middle English never-the-less, which literally combined "never" with "the less." The word entered modern usage to mean that something is true despite previous conditions or contrary expectations, similar to how we say someone might be "never the wiser."